Theorems · Theorem · category theory

CategoryTheory.EnrichedFunctor.ext

∀ (V : Type v) [inst : CategoryTheory.Category.{w, v} V] [inst_1 : CategoryTheory.MonoidalCategory V] {C : Type u₁}
  {D : Type u₂} [inst_2 : CategoryTheory.EnrichedCategory V C] [inst_3 : CategoryTheory.EnrichedCategory V D]
  {F G : CategoryTheory.EnrichedFunctor V C D} (h_obj : ∀ (X : C), F.obj X = G.obj X),
  (∀ (X Y : C), CategoryTheory.CategoryStruct.comp (F.map X Y) (CategoryTheory.eqToHom ⋯) = G.map X Y) → F = G

Defined in

Mathlib.CategoryTheory.Enriched.Basic

Cited by

2 results in Mathlib

Foundations

Depth 13 from the axioms · uses Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory